GCD of 432, 450, 962, 678 Calculator

Given Input numbers are 432, 450, 962, 678

In the factoring method, we have to find the divisors of all numbers

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (432, 450, 962, 678) = 2.

Given numbers are 432, 450, 962, 678

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 962 are 2 x 13 x 37

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 432, 450, 962, 678 is 2.

Given numbers are 432, 450, 962, 678

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(432, 450) = 10800

GCD(432, 450) = ( 432 x 450 ) / 10800

= 432 / 450

= 432

Step2:

LCM(18, 962) = 8658

GCD(18, 962) = ( 18 x 962 ) / 8658

= 18 / 962

= 18

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 432, 450, 962, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 310, 524, 919
• GCD of 278, 798, 712, 154
• GCD of 851, 739, 540, 148
• GCD of 567, 563, 341, 733
• GCD of 408, 221, 817, 532

Given numbers are 432, 450, 962, 678
The greatest common divisor of numbers 432, 450, 962, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 450, 962, 678 is 2.

1. What is the GCD of 432, 450, 962, 678?

GCD of given numbers 432, 450, 962, 678 is 2

2. How to calculate the greatest common divisor of 432, 450, 962, 678?

We can find the highest common divisor of 432, 450, 962, 678 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 432, 450, 962, 678 i.e 2.

3. How can I use the GCD of 432, 450, 962, 678Calculator?

Out the numbers 432, 450, 962, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.